一维云模型系统的逼近性研究

李众; 高键; 张日勋

doi:10.3724/SP.J.1004.2011.01190

一维云模型系统的逼近性研究

doi: 10.3724/SP.J.1004.2011.01190

李众^1,2, ,,
高键²,
张日勋²

1.
常州信息职业技术学院电子与电气工程学院常州 213164;
2.
江苏科技大学电子信息学院镇江 212003

详细信息

通讯作者:
李众常州信息职业技术学院电子与电气工程学院教授,江苏科技大学电子信息学院教授. 2006年于南京航空航天大学自动化学院获得控制理论与控制工程专业工学博士. 主要研究方向为电气自动化、智能控制和云模型. E-mail: xlizhong@163.com

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出版历程
- 收稿日期: 2010-09-06
- 修回日期: 2011-04-23
- 刊出日期: 2011-10-20

On Approximation of One-dimension Cloud Model Systems

LI Zhong^{1,2
, ,},
GAO Jian²,
ZHANG Ri-Xun²

1.
Institute of Electronic and Electrical, Changzhou College of Information Technology, Changzhou 213164;
2.
College of Electronic Information, Jiangsu University of Science and Technology, Zhenjiang 212003

摘要

摘要: 针对云模型的基本原理,提出了一类云模型系统的设计方法,并利用Stone-Weierstrass定理对在3σ 正态分布随机数条件下的云模型系统任意逼近紧集上的任意连续实函数进行了证明, 是对云模型应用于逼近任意连续非线性函数理论的创新,也是今后云模型系统用于系统辨识和控制的理论依据.
- 云模型 /
- 云模型系统 /
- 逼近性 /
- 推理
Abstract: A new design method for a class of the cloud model systems is put forward based on the theory of cloud model. Any continuous real function from any approximating compact set under 3-sigma random normal distribution is proved for the cloud model system by using the Stone-Weierstrass theorem. This cloud model system enriches the theory of approximating any continuous non-linear function. The innovative method provides a theoretic basis for the future application in system identification and control.
- Cloud model /
- cloud model system /
- approximation /
- reasoning

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参考文献(1)

[1]

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